Solve the quadratics equation x^2 +49=0 for x.

Melanie Barron

Melanie Barron

Answered question

2022-08-10

Answer & Explanation

Jeffrey Jordon

Jeffrey Jordon

Expert2022-11-08Added 2605 answers

Subtract 49 from both sides of the equation.

x2=-49

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

x=±-49

Simplify ±-49.

Rewrite -49 as -1(49).

x=±-1(49)

Rewrite -1(49) as -149.

x=±-149

Rewrite -1 as i.

x=±i49

Rewrite 49 as 72.

x=±i72

Pull terms out from under the radical, assuming positive real numbers.

x=±i7

Move 7 to the left of i.

x=±7i

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

x=7i

Next, use the negative value of the ± to find the second solution.

x=-7i

The complete solution is the result of both the positive and negative portions of the solution.

x=7i, -7i

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